Four equal capacitors,each of capacity C,are | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The circuit consists of a capacitor in series with two parallel capacitors,all of which are in parallel with a fourth capacitor.$1$. First,conside

Vedclass · Accepted Answer

$\frac{5}{3}\,C$

Vedclass · Answer

(C) The circuit consists of a capacitor in series with two parallel capacitors,all of which are in parallel with a fourth capacitor.$1$. First,consider the two capacitors connected in parallel. Their equivalent capacitance is $C_p = C + C = 2C$.$2$. This combination is in series with the third capacitor of capacitance $C$. The equivalent capacitance of this series branch is $C_s = \frac{C 	imes 2C}{C + 2C} = \frac{2C^2}{3C} = \frac{2}{3}C$.$3$. Finally,this branch is in parallel with the fourth capacitor of capacitance $C$. The total effective capacitance between $A$ and $B$ is $C_{AB} = C_s + C = \frac{2}{3}C + C = \frac{5}{3}C$.

Four equal capacitors,each of capacity $C$,are arranged as shown. The effective capacitance between $A$ and $B$ is

Similar Questions

Three long concentric conducting cylindrical shells have radii $R$,$2R$,and $2\sqrt{2}R$. The inner and outer shells are connected to each other. The capacitance across the middle and inner shells per unit length is:

The equivalent capacitance between $A$ and $B$ is

In the figure shown, the potential difference between points $A$ and $B$ is......$V$.

Four plates of the same area of cross-section are joined as shown in the figure. The distance between each plate is $d$. The equivalent capacitance across $A$ and $B$ will be

In the given diagram, the potential difference $(PD)$ between $A$ and $B$ is $60 \, V$. The potential difference across the $6 \, \mu F$ capacitor is: (in $V$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module